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Finding the Third Proportional to 1,387.52 and 2,972.45

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Solution

The third proportional to 1,387.52 and 2,972.45 is: 6,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.52 : 2,972.45 = 2,972.45 : x
  2. Step 2: Convert to fraction form
    1,387.52/2,972.45 = 2,972.45/x
  3. Step 3: Cross multiply
    1,387.52x = 2,972.45 × 2,972.45
  4. Step 4: Simplify right side
    1,387.52x = 8,835,477.58
  5. Step 5: Solve for x
    x = 8,835,477.58/1,387.52
  6. Step 6: Final answer
    x = 6,367.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.